790 research outputs found

    Shape preserving C2C^2 interpolatory subdivision schemes

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    Stationary interpolatory subdivision schemes which preserve shape properties such as convexity or monotonicity are constructed. The schemes are rational in the data and generate limit functions that are at least C2C^2. The emphasis is on a class of six-point convexity preserving subdivision schemes that generate C2C^2 limit functions. In addition, a class of six-point monotonicity preserving schemes that also leads to C2C^2 limit functions is introduced. As the algebra is far too complicated for an analytical proof of smoothness, validation has been performed by a simple numerical methodology

    Polynomial cubic splines with tension properties

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    In this paper we present a new class of spline functions with tension properties. These splines are composed by polynomial cubic pieces and therefore are conformal to the standard, NURBS based CAD/CAM systems

    Rational Cubic Ball Interpolants For Shape Preserving Curves And Surfaces

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    Interpolan pengekalan bentuk adalah satu teknik rekabentuk lengkung/ permukaan yang sangat penting dalam CAD/-CAM dan rekabentuk geometric Shape preserving interpolation is an essential curve/surface design technique in CAD/CAM and geometric desig

    Parametric Interpolation To Scattered Data [QA281. A995 2008 f rb].

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    Dua skema interpolasi berparameter yang mengandungi interpolasi global untuk data tersebar am dan interpolasi pengekalan-kepositifan setempat data tersebar positif dibincangkan. Two schemes of parametric interpolation consisting of a global scheme to interpolate general scattered data and a local positivity-preserving scheme to interpolate positive scattered data are described
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